Question

Two fair coins are to be tossed once. For each head that results, one fair die is to be rolled. What is the probability that the sum of the die rolls is odd

Answer 1

There is a 1/4 chance of no heads, and therefore no dice. The sum of no dice is 0, which is even.

There is a 1/2 chance of one head, and therefore one die. For one die, there is a 1/2 chance of landing on an odd total 1,3,5.

There is a 1/4 chance of getting two heads, and therefore two dice. There are an equal number of possibilities giving even and odd, so there is again a 1/2 chance of landing on an odd total.

So in total, we have total probability

1/4⋅0+1/2⋅1/2+1/4⋅1/2=3/8.

The ratio of the number of results in an exhaustive set of similarly probable outcomes that produce a given occasion to the entire quantity of feasible results. b : a branch of arithmetic worried with the observe of probabilities.

The chance of an event can be calculated through possibility system by way of truely dividing the favorable variety of results by means of the entire wide variety of feasible outcomes.

Many events cannot be anticipated with total actuality. we will are expecting simplest the danger of an event to occur i.e. how possibly they're to appear, the usage of it.

Learn more about Coin Probability here brainly.com/question/10837034

#SPJ4